Trig Table
For today's activity, we will be creating a Handmade Trig Table with the rest of the class. You will need a piece of paper, a pen or pencil, a calculator, and your computer (of course :)). Please make sure your calculator is in DEGREE mode. (If you are not sure how to do this, please ask.) You will need to have this Geogebra Applet up, as well as the Google Sheet that I have sent you. Please find your initials in Column A (first initial last initial). All of your answers should go in the same ROW as your initials. Please follow the directions below and place your answers on the Google Sheet that I have provided for you in the Schoology folder. Please make sure that your side lengths are DIFFERENT than EVERYONE else in the class.
Triangle #1
Triangle #1
In the triangle above, drag C so that you create a 20-70-90 (or as close as possible to it.)
Part 1
1. Draw this triangle on your paper, along with ALL measurements.
2. Circle the 20 degree angle
3. Label your sides by the following:
Hyp (hypotenuse): Side across from the 90° angle.
Opp (opposite): Side opposite the circled angle (the side not touching the circled angle)
Adj (adjacent): Side touching the circled angle that is not the hypotenuse
4. Place all of these numbers in the Google Sheet under Triangle #1 Part 1 (MAKE SURE YOUR SIDE LENGTHS DO NOT MATCH ANOTHER CLASSMATE'S LENGTHS, IF THEY DO, CHANGE YOUR TRIANGLE SO THEY ARE DIFFERENT BY DRAGGING POINT B)
5. Calculate the ratios of the following by placing the fraction in your calculator (or you can type the = and then the fraction in the cell provided:
6. Place your answers in the cell provided in Google Sheets, round your answers to the nearest hundredth.
Part 2
1. Draw THE SAME triangle on your paper, along with ALL measurements.
2. Circle the 70 degree angle
3. Label your sides by the following:
Hyp (hypotenuse): Side across from the 90° angle.
Opp (opposite): Side opposite the circled angle (the side not touching the circled angle)
Adj (adjacent): Side touching the circled angle that is not the hypotenuse
4. Place all of these numbers in the Google Sheet under Triangle #1 Part 2 (MAKE SURE YOUR SIDE LENGTHS DO NOT MATCH ANOTHER CLASSMATE'S LENGTHS, IF THEY DO, CHANGE YOUR TRIANGLE SO THEY ARE DIFFERENT BY DRAGGING POINT B)
5. Calculate the ratios of the following by placing the fraction in your calculator (or you can type the = and then the fraction in the cell provided:
6. Place your answers in the cell provided in Google Sheets, round your answers to the nearest hundredth.
Triangle 2
Triangle #2
In the triangle above, drag C so that you create a 35-55-90 (or as close as possible to it.)
Part 1
1. Draw this triangle on your paper, along with ALL measurements.
2. Circle the 35 degree angle
3. Label your sides by the following:
Hyp (hypotenuse): Side across from the 90° angle.
Opp (opposite): Side opposite the circled angle (the side not touching the circled angle)
Adj (adjacent): Side touching the circled angle that is not the hypotenuse
4. Place all of these numbers in the Google Sheet (MAKE SURE YOUR SIDE LENGTHS DO NOT MATCH ANOTHER CLASSMATE'S LENGTHS, IF THEY DO, CHANGE YOUR TRIANGLE SO THEY ARE DIFFERENT BY DRAGGING POINT B)
5. Calculate the ratios of the following by placing the fraction in your calculator (or you can type the = and then the fraction in the cell provided:
6. Type sin 35 in your calculator and place that in the space provided in the Google Sheet.
7. Calculate the ratios of the following by placing the fraction in your calculator (or you can type the = and then the fraction in the cell provided:
8. Type cos 35 in your calculator and place that in the space provided in the Google Sheet.
9. Calculate the ratios of the following by placing the fraction in your calculator (or you can type the = and then the fraction in the cell provided:
10. Type tan 35 in your calculator and place that in the space provided in the Google Sheet.
Please compare your answers for Triangle #2: How does the number for compare to sin 35?
Please compare your answers for Triangle #2: How does the number for compare to cos 35?
Please compare your answers for Triangle #2: How does the number for compare to tan 35?
Extension
Compare your (and your classmates') answers to part 1 and part 2 for TRIANGLE 1. Please answer the following questions with as much detail as possible. 1. What do you notice? 2. Why do you think this is true? 3. Do you think this is true for all triangles?